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math.DG2021★ 7 cited
A note on gradient Ricci soliton warped metrics
José N. V. Gomes, Marcus A. M. Marrocos, Adrian V. C. Ribeiro
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are real…
math.DG2021
Eigenvalue estimates of the drifted Cheng-Yau operator on bounded domains in pinched Cartan-Hadamard manifolds
Júlio C. M. da Fonseca, José N. V. Gomes
We show how a Bochner type formula can be used to establish universal inequalities for the eigenvalues of the drifted Cheng-Yau operator on a bounded domain in a pinched Cartan-Had…